Problema Solution
Tony paid the same price for a number of video games totaling $138.25. Will bought the same number of video games for $117.25. Will paid $3 less for each game than Tony did. How much did Tony pay for each game?
Answer provided by our tutors
let
t = the price per game that Tony paid, t>0
t - 3 = the price that Will paid per game (Will paid $3 less for each game than Tony did)
n = the number of video games Tony bought
Tony paid the same price for a number of video games totaling $138.25
t*x = 138.25
x = 138.25/t
Will bought the same number of video games for $117.25
(t - 3)*x = 117.25
plug x = 138.25/t into the last equation
(t - 3)*(138.25/t) = 117.25
by solving we find
t = $19.75
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Tony paid $19.75 per game.